New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices
Authors
Gildea, J.Kaya, A.
Taylor, R.; orcid: 0000-0002-8563-2212
Tylyshchak, A.; orcid: 0000-0001-7828-3416
Yildiz, B.; orcid: 0000-0001-8106-3123
Publication Date
2021-08-20
Metadata
Show full item recordAbstract
In this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions when this construction can yield self-dual codes. We construct self-dual codes of various lengths over F 2 and F 2 + u F 2 . Using extensions, neighbours and sequences of neighbours, we construct many new self-dual codes. In particular, we construct one new self-dual code of length 66 and 51 new self-dual codes of length 68.Citation
Discrete Mathematics, volume 344, issue 11, page 112590Publisher
ElsevierType
articleDescription
From Elsevier via Jisc Publications RouterHistory: accepted 2021-08-05, epub 2021-08-20, issued 2021-11-30
Article version: AM
Publication status: Published